Algebra 2 Graphing Equations Using T Tables
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Graphing Equations Using T Tables

 

 There are lots of fancy tricks to help you graph big equations.

 You will see a lot of them in the next few pages.
 Sometimes it is easy to see what tricks to use, but sometimes it isn't.
 
 When it's not,
 like when you have something like:

 Y = X2 -2X + 2

 You can graph it like this:
 
 Draw a long T. Put an X and a Y at the top

 

 
 Now pick some values for X and write them under the X:

 

 Now, solve the equation for each of the X values you chose.
 Write the value you get for Y in the table under the Y 
 next to the X value you used to get it.
 
 

Y = X2 -2X + 2

  Y = (-3)2 -2(-3) + 2
  Y = 9 + 6 + 2
  Y = 17

 

 
 Now work out the rest of the values for the "T" table.
 
X = -2 X = -1
Y = (-2)2 -2(-2) + 2 Y = (-1)2 -2(-1) + 2
Y = 4 + 4 + 2 Y = 1 + 2 + 2
Y = 10 Y = 5
 
X = 0 X = 1
Y = (0)2 -2(0) + 2 Y = (1)2 -2(1) + 2
Y = 0 + 0 + 2 Y = 1 -2 + 2
Y = 2 Y = 1
 
X = 2 X = 3
Y = (2)2 -2(2) + 2 Y = (3)2 -2(3) + 2
Y = 4 - 4 + 2 Y = 9 - 6 + 2
Y = 2 Y = 5
 
 Now fill in the table:

 

 Now put these points on a graph:

 

 The last step is to connect the dots.

 

 

   copyright 2005 Bruce Kirkpatrick

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